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On the structure of the special linear group over polynomial rings

A. A. Suslin


Abstract: It is proved that the special linear group of degree not less than three over the polynomial ring over a field is generated by the elementary matrices. Other results are obtained that relate to the structure of the special linear group and stabilization of the general linear group over arbitrary polynomial and Laurent rings.
Bibliography: 9 titles.

UDC: 519.443

MSC: Primary 20G35; Secondary 15A33, 18F25

Received: 24.06.1976

 English version: Mathematics of the USSR-Izvestiya, 1977, 11:2, 221–238

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